Least Common Multiple of 21498 and 21502

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 21498 and 21502 the smallest integer that is 231124998 that is divisible by both numbers.

Least Common Multiple (LCM) of 21498 and 21502 is 231124998.

LCM(21498,21502) = 231124998

LCM of 21498 and 21502

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 21498 and 21502

LCM of 21498 and 21502 is 231124998

Least common multiple can be found by multiplying the highest exponent prime factors of 21498 and 21502. First we will calculate the prime factors of 21498 and 21502.

Prime Factorization of 21498


2 21498
3 10749
3583 3583
1

Prime factors of 21498 are 2, 3,3583. Prime factorization of 21498 in exponential form is:

21498 = 21×31×35831

Prime Factorization of 21502


2 21502
13 10751
827 827
1

Prime factors of 21502 are 2, 13,827. Prime factorization of 21502 in exponential form is:

21502 = 21×131×8271

Now multiplying the highest exponent prime factors to calculate the LCM of 21498 and 21502.

LCM(21498,21502) = 21×31×131×8271×35831
LCM(21498,21502) = 231124998

Factors of 21498

List of positive integer factors of 21498 that divides 21498 without a remainder.

1, 2, 3, 6, 3583, 7166, 10749, 21498

Factors of 21502

List of positive integer factors of 21502 that divides 21502 without a remainder.

1, 2, 13, 26, 827, 1654, 10751, 21502

Least Common Multiple of 21498 and 21502 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21498 and 21502, than apply into the LCM equation.

GCF(21498,21502) = 2
LCM(21498,21502) = ( 21498 × 21502) / 2
LCM(21498,21502) = 462249996 / 2
LCM(21498,21502) = 231124998

Properties of LCM 21498 and 21502

(i) The LCM of 21502 and 21498 is associative

LCM of 21498 and 21502 = LCM of 21502 and 21498

Related Least Common Multiples of 21498

Related Least Common Multiples of 21502

Frequently Asked Questions on LCM of 21498 and 21502

1. What is the LCM of 21498 and 21502?

Answer: LCM of 21498 and 21502 is 231124998.

2. What are the Factors of 21498?

Answer: Factors of 21498 are 1, 2, 3, 6, 3583, 7166, 10749, 21498. There are 8 integers that are factors of 21498. The greatest factor of 21498 is 21498.

3. What are the Factors of 21502?

Answer: Factors of 21502 are 1, 2, 13, 26, 827, 1654, 10751, 21502. There are 8 integers that are factors of 21502. The greatest factor of 21502 is 21502.

4. How to Find the LCM of 21498 and 21502?

Answer:

Least Common Multiple of 21498 and 21502 = 231124998

Step 1: Find the prime factorization of 21498

21498 = 2 x 3 x 3583

Step 2: Find the prime factorization of 21502

21502 = 2 x 13 x 827

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 231124998 = 2 x 3 x 13 x 827 x 3583

Step 4: Therefore, the least common multiple of 21498 and 21502 is 231124998.